Relativistic Study of Motion of Photons in an Elliptical Gravitational Field

Timothy Bulus, Abdullahi Danlami, and Abubakar Yushau
2025-11-07 149 views 1 downloads

 

Fields of elliptical objects can be considered elliptically symmetric, such that the structure, matter, and field of such an object can be defined in terms of an elliptically symmetric space metric. In this study, the need to employ a line element in the gravitational field due to a static and ellipsoidal isolated gravitating mass point was adopted. The relativistic equation of motion of an ellipsoidal star is obtained by applying conditions, such as the covariant and contravariant components of the metric tensor on the metric of the equation, where the metric tensor, affine connections, and geodesic equations were put to work. The contra-variant metric tensor of the basic metric tensor in its covariant form was obtained using the quotient relation. These results offer refined insight into the interpretation of astrophysical observations near non-spherical massive bodies such as oblate stars, elliptical galaxies, or deformed compact objects. The findings contribute to the broader effort of modeling light propagation in realistic, anisotropic gravitational environments within the framework of general relativity.

 

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